Linear preservers of rank permutability

DOI10.1016/j.laa.2004.01.001zbMath1061.15001OpenAlexW2028258984MaRDI QIDQ1827482

Anna A. Alieva, Alexander E. Guterman

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2004.01.001

zbMATH Keywords

linear preserverrank permutability

Mathematics Subject Classification ID

Linear transformations, semilinear transformations (15A04) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (3)

Strong linear preservers of rank reverse permutability on triangular matrices ⋮ Rank-permutable additive mappings ⋮ Three linear preservers on infinite triangular matrices

Cites Work

• Linear preserver problems: A brief introduction and some special techniques
• Matrix semigroups with commutable rank.
• Simultaneous triangularization
• Sur une généralisation du groupe orthogonal à quatre variables
• Linear Preserver Problems
• Linear Preservers That Permute the Entries of a Matrix
• Invertibility of linear maps preserving matrix invariants
• Chapter 9: miscellaneous preserver problems

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